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arxiv: 1311.7642 · v1 · pith:R7KZZNC4new · submitted 2013-11-29 · 🧮 math.CT

Elements of a theory of algebraic theories

classification 🧮 math.CT
keywords algebraicnotionsoperadstheoriestheoryaccountallowsbicategories
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Kleisli bicategories are a natural environment in which the combinatorics involved in various notions of algebraic theory can be handled in a uniform way. The setting allows a clear account of comparisons between such notions. Algebraic theories, symmetric operads and nonsymmetric operads are treated as examples.

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